Consider the multiple linear regression model, y = 0 + 1x1 + 2x2 + 3x3 + .

Consider the multiple linear regression model, y = β0 +

β1x1 + β2x2 + β3x3 + ε. You wish to test whether the slope coefficients β1 and β3 are statistically different from each another. Define the restricted and the unrestricted models needed to conduct the test.